Sub-Gaussian estimates of heat kernels on infinite graphs, to appera in Duke Math
By Alexander Grigorʼyan, András Telcs. 2001
131 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/d603857677ae0c1bfbb948b83aee737790a1090f
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In Applied Mathematics
- Alexander Grigorʼyan
- Takashi Kumagai
- Jiaxin Hu
- Martin T. Barlow
- Ka-Sing Lau
- András Telcs
- Jun Kigami
- Thierry Coulhoun
In Geometry and Topology
- Takashi Kumagai
- Alexander Grigorʼyan
- Martin T. Barlow
- Jiaxin Hu
- Ka-Sing Lau
- Jun Kigami
- Thierry Coulhoun
- András Telcs
Citations in the corpus
- Heat Kernels and Green Functions on Metric Measure Spaces (2014, background): “There are a vast literature to devote to some of these questions, for example, in [2, 6, 13, 14, 15, 17, 32, 33, 34, 36, 37, 38, 39] for the Euclidean spaces or Riemannian manifolds, in [8, 10, 24, 25] for torus or infinite graphs, in [3, 5, 9, 27] for certain classes of fractals and in [12, 26, 28,”
- Heat Kernel Estimates and Parabolic Harnack Inequalities on Graphs and Resistance Forms (2004, methodology): “Recent results on heat kernel estimates and parabolic Harnack inequalities on graphs In this subsection, we will explain the results in [8, 12, 24, 25, 28].”
- Heat kernels on metric measure spaces and an application to semilinear elliptic equations (2003, methodology): “11) was proved in [26] and [14], using techniques that are not available for general metric spaces.”
- Harnack inequalities and sub-Gaussian estimates for random walks (2002, background): “Theorem 3.1 recovers also the results obtained in [ 22 ] and [33].”
- TWO-SIDED ESTIMATES OF HEAT KERNELS ON METRIC MEASURE SPACES (2012, background): “12) was proved by the authors in [34], [35].”
- Heat Kernels on Metric Measure Spaces (2014, background): “Let us note that the iteration argument in this part of the proof is motivated by that in [26] for the setting of infinite graphs.”
- Heat kernels and function theory on metric measure spaces (2003, background): “2) are valid on fractal-like graphs (see [6], [19], [20], [22], [30]).”
- Characterization of sub‐Gaussian heat kernel estimates on strongly recurrent graphs (2005, background): “1 of [29], which is written for polynomial growth, to the volume doubling situation – see also [8], Theorem 6.”
- Local Nash Inequality and Inhomogeneity of Heat Kernels (2004, methodology): “As we mentioned, the proof here depends on a modification of known techniques developed for the homogeneous case. See [1, 3, 8, 11 ] for example.”